Answer:
∠EFA
Step-by-step explanation:
The diagram shows several rays starting at point F. There are 2 sets of rays that are opposite to each other ie their angles add up to 180°
These are
FD and FA
FB and FE
You can ignore the other two rays since they do not have any opposite rays and therefore do not figure in a linear relationship
Ignoring FG and FC we get the equivalent of two lines crossing each other at point F
We can eliminate any angles that contain C and G
So we can eliminate ∠BFC, ∠CFG and ∠GFD
Which leaves the last choice as the only option
So answer is ∠EFA
∠EFA is linearly paired with ∠BFD since they lie on the same straight line and the measure of sum of their angles is 180°
∠EFA also is vertically paired with ∠BFD since these angles are opposite each other